Chest is tender after cold (6)
I believe the answer is:
coffer
'chest' is the definition.
(coffer is a kind of chest)
'is tender after cold' is the wordplay.
'is tender' becomes 'offer' (I've seen this before).
'after' says to put letters next to each other.
'cold' becomes 'c' (eg on taps).
'offer' put after 'c' is 'COFFER'.
(Other definitions for coffer that I've seen before include "Strongbox" , "Money chest sounds like one with lung trouble" , "jewellery store?" , "Treasure chest" , "Small chest for keeping valuables" .)